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Transformations
Transformations and argument simplifications
Argument involving basic arithmetic operations
Involving cos-1(- z)
Involving cos-1(-z) and cos-1(z)
Involving cos-1(cz)
Involving cos-1(i z) and cos-1(1+2 z2)
Involving cos-1(-i z) and cos-1(1+2 z2)
Involving cos-1((z2)1/2)
Involving cos-1((z2)1/2) and cos-1(z)
Involving cos-1(a (b zc)m)
Involving cos-1(a (b zc)m) and cos-1(a bm zm c)
Involving cos-1(1-2z2)
Involving cos-1(1-2 z2) and cos-1(z)
Involving cos-1(2z2-1)
Involving cos-1(2 z2-1) and cos-1(z)
Involving cos-1(z2-2/z2)
Involving cos-1(z2-2/z2) and cos-1(1/z)
Involving cos-1(2-z2/z2)
Involving cos-1(z2-2/z2) and cos-1(1/z)
Involving cos-1((1-z)1/2)
Involving cos-1((1-z)1/2) and cos-1(z1/2)
Involving cos -1(1+c z/21/2)
Involving cos-1(1+z/21/2) and cos-1(z)
Involving cos-1(1-z/21/2) and cos-1(z)
Involving cos-1((z-1)1/2/z1/2)
Involving cos-1((z-1)1/2/z1/2) and cos-1(1/z1/2)
Involving cos-1((z-1)1/2/z1/2) and cos-1(1/z1/2)
Involving cos-1((1-z)1/2/(-z)1/2)
Involving cos-1((1-z)1/2/(-z)1/2) and cos-1(1/z1/2)
Involving cos-1((1-z)1/2/(-z)1/2) and cos-1(1/z1/2)
Involving cos-1(z-1/z1/2)
Involving cos-1(z-1/z1/2) and cos-1(1/z1/2)
Involving cos-1(z-1/z1/2) and cos-1(1/z1/2)
Involving cos-1((z+a)1/2/(2 z)1/2)
Involving cos-1((z-1)1/2/(2 z)1/2) and cos-1(1/z)
Involving cos-1((z+1)1/2/(2 z)1/2) and cos-1(1/z)
Involving cos-1((a-z)1/2/(-2 z)1/2)
Involving cos-1((-z-1)1/2/(-2 z)1/2) and cos-1(1/z)
Involving cos-1((1-z)1/2/(-2 z)1/2) and cos-1(1/z)
Involving cos-1(z+a/2 z1/2)
Involving cos-1(z-1/2 z1/2) and cos-1(1/z)
Involving cos-1(z+1/2 z1/2) and cos-1(1/z)
Involving cos-1((1-z2)1/2)
Involving cos-1((1-z2)1/2) and cos-1(z)
Involving cos-1((z2-1)1/2/z)
Involving cos-1((z2-1)1/2/z) and cos-1(1/z)
Involving cos-1((z2-1)1/2/(z2)1/2)
Involving cos-1((z2-1)1/2/(z2)1/2) and cos-1(1/z)
Involving cos-1((1-z2)1/2/(-z2)1/2)
Involving cos-1((1-z2)1/2/(-z2)1/2) and cos-1(1/z)
Involving cos-1(z2-1/z21/2)
Involving cos-1(z2-1/z21/2) and cos-1(1/z)
Involving cos-1(2 z (1-z2)1/2)
Involving cos-1(2 z (1-z2)1/2) and cos-1(z)
Involving cos-1(2 (z2-1)1/2/z2)
Involving cos-1(2 (z2-1)1/2/z2) and cos-1(1/z)
Involving cos-1(((1-(1+c z2)1/2)/2)1/2)
Involving cos-1(((1-(1+z2)1/2)/2 )1/2) and cos-1(i z)
Involving cos-1(((1-(1-z2)1/2)/2 )1/2) and cos-1(z)
Involving cos-1(z (1-(1-z2)1/2)1/2/(2z2)1/2)
Involving cos-1(z (1-(1-z2)1/2)1/2/(2z2)1/2) and cos-1(z)
Involving cos-1(z ((1-(1-z2)1/2)/(2z2))1/2)
Involving cos-1(z ((1-(1-z2)1/2)/(2z2))1/2) and cos-1(z)
Involving cos-1((z-(z2-1)1/2)1/2/(2z)1/2)
Involving cos-1((z-(z2-1)1/2)1/2/(2z)1/2) and cos-1(1/z)
Involving cos-1(((z-(z2-1)1/2)/(2z))1/2)
Involving cos-1(((z-(z2-1)1/2)/(2z))1/2) and cos-1(1/z)
Involving cos-1(c z-r (-1+z2 r/c2)1/2)
Involving cos-1(c z-r (-1+z2 r/c2)1/2) and cos-1(c/zr)
Products, sums, and powers of the direct function
Sums of the direct function
Differences of the direct function
Linear combinations of the direct function
Related transformations
Sums involving the direct function
Involving log(z)
Involving sin-1(z)
Involving tan-1(z)
Involving cot-1(z)
Involving csc-1(z)
Involving sec-1(z)
Involving sinh-1(z)
Involving cosh-1(z)
Involving tanh-1(z)
Involving coth-1(z)
Involving csch-1(z)
Involving sech-1(z)
Differences involving the direct function
Involving log(z)
Involving sin-1(z)
Involving tan-1(z)
Involving cot-1(z)
Involving csc-1(z)
Involving sec-1(z)
Involving sinh-1(z)
Involving cosh-1(z)
Involving tanh-1(z)
Involving coth-1(z)
Involving csch-1(z)
Involving sech-1(z)
Linear combinations involving the direct function
Involving log(z)
Involving sin-1(z)
Involving tan-1(z)
Involving cot-1(z)
Involving csc-1(z)
Involving sec-1(z)
Involving sinh-1(z)
Involving cosh-1(z)
Involving tanh-1(z)
Involving coth-1(z)
Involving csch-1(z)
Involving sech-1(z)
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